Question

A population consists of the following five values: 1, 2, 3, 3, and 4.

(a)	List all samples of size 2 from left to right using without replacement, and compute the mean of each sample. (Round your Mean values to 1 decimal place.)

Sample	Values	Sum	Mean
1	(Click to select)1,23,41,42,31,3
2	(Click to select)1,33,31,43,41,2
3	(Click to select)1,21,41,33,43,3
4	(Click to select)3,31,23,41,41,3
5	(Click to select)3,32,31,23,42,4
6	(Click to select)2,31,22,43,43,3
7	(Click to select)1,32,43,41,23,3
8	(Click to select)1,41,23,31,33,4
9	(Click to select)3,41,41,31,23,3
10	(Click to select)1,43,33,41,21,3

(b)	Compute the mean of the distribution of sample means and the population mean. (Round your answers to 1 decimal place.)

Mean of the distribution of the sample means
Population mean

Answer 1

a)

values            sum             mean

1,2                    3                  1.5

1,3                    4                  2

1,3                    4                  2

1,4                    4                  2.5

2,3                    5                  2.5

2,3                    5                  2.5

2,4                    6                  3

3,3                    6                  3

3,4                    7                  3.5

3,4                    7                  3.5

b) Mean of the distribution of the sample means = (1.5 + 2 + 2 + 2.5 + 2.5 + 2.5 + 3 + 3 + 3.5 + 3.5) / 10 = 2.6

population mean = (1 + 2 + 3 + 3 + 4) / 5 = 2.6